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OverviewRecent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology.For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work. Full Product DetailsAuthor: Claude P. BruterPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of hardcover 1st ed. 2002 Dimensions: Width: 15.50cm , Height: 1.80cm , Length: 23.50cm Weight: 0.590kg ISBN: 9783642077821ISBN 10: 364207782 Pages: 337 Publication Date: 22 October 2010 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPresentation of the Colloquium. The ARPAM Project.- Solid-Segment Sculptures.- Visualizing Mathematics — Online.- The Design of 2-Colour Wallpaper Patterns Using Methods Based on Chaotic Dynamics and Symmetry.- Machines for Building Symmetry.- The Mathematics of Tuning Musical Instruments — a Simple Toolkit for Experiments.- The Garden of Eden.- Visualization and Dynamical Systems.- Solving Polynomials by Iteration.- Mathematical Aspects in the Second Viennese School of Music.- Mathematics and Art: The Film Series.- Guided Tours of Buried Galleries (Inside a Computer).- A Mathematical Interpretation of Expressive Intonation.- Symbolic Sculptures.- FORUM: How Art Can Help the Teaching of Mathematics?.- Forum Discussion.- Forum Discussion: Presentation of the Atractor.- Forum Discussion.- Forum Discussion.- Getting Out of the Box and Into the Sphere.- Constructing Wire Models.- Sphere Eversions: from Smale through “The Optiverse”.- Tactile Mathematics.- Hyperseeing, Knots, and Minimal Surfaces.- Ruled Sculptures.- A Gallery of Algebraic Surfaces.- The Mathematical Exploratorium.- Copper Engravings.- Appendix: Color Plates.ReviewsFrom the reviews: This book gives a summary of a Colloquium held in Maubeuge (France) in September 2000. The Colloquium was based on the relations between Arts and Mathematics (in particular, on the art of visualization of mathematics), and contained a collection of 27 talks given by artists as well as mathematicians ... . An Appendix of more than fifty pages at the end of the book shows beautiful pictures of models, sculptures and computer graphics linked to the papers discussed. A beautiful book! (I. Pola, Nieuw Archief voor Wiskunde, Vol. 5/4 (4), 2003) This book contains the proceedings of a Colloquium on Mathematics and Art held in Maubeuge (France) in September 2000. ... The References give a comprehensive list of sources for further study and most papers refer to websites which widen the reader's appreciation of the topic. ... Readers ... will find some of the themes and related material developed in the book of interest. Some readers will find considerable value in having the book as a reference. (W. P. Galvin, The Australian Mathematical Society Gazette, Vol. 30 (2), 2003) This book must have been a delight to put together. It contains 28 essays by 25 authors from 8 countries, and covers at least 5 disciplines (mathematics and art, of course, but also computer science, film and music). ... The strength of this collection of works is that it comes from a collection of talented people who have a lot to say on the subject of visualization in mathematics and art. (Annalisa Crannel, MAA Online, April, 2003) From the reviews: This book gives a summary of a Colloquium held in Maubeuge (France) in September 2000. The Colloquium was based on the relations between Arts and Mathematics (in particular, on the art of visualization of mathematics), and contained a collection of 27 talks given by artists as well as mathematicians ... . An Appendix of more than fifty pages at the end of the book shows beautiful pictures of models, sculptures and computer graphics linked to the papers discussed. A beautiful book! (I. Pola, Nieuw Archief voor Wiskunde, Vol. 5/4 (4), 2003) This book contains the proceedings of a Colloquium on Mathematics and Art held in Maubeuge (France) in September 2000. ... The References give a comprehensive list of sources for further study and most papers refer to websites which widen the reader's appreciation of the topic. ... Readers ... will find some of the themes and related material developed in the book of interest. Some readers will find considerable value in having the book as a reference. (W. P. Galvin, The Australian Mathematical Society Gazette, Vol. 30 (2), 2003) This book must have been a delight to put together. It contains 28 essays by 25 authors from 8 countries, and covers at least 5 disciplines (mathematics and art, of course, but also computer science, film and music). ... The strength of this collection of works is that it comes from a collection of talented people who have a lot to say on the subject of visualization in mathematics and art. (Annalisa Crannel, MAA Online, April, 2003) From the reviews: This book gives a summary of a Colloquium held in Maubeuge (France) in September 2000. The Colloquium was based on the relations between Arts and Mathematics (in particular, on the art of visualization of mathematics), and contained a collection of 27 talks given by artists as well as mathematicians ! . An Appendix of more than fifty pages at the end of the book shows beautiful pictures of models, sculptures and computer graphics linked to the papers discussed. A beautiful book! (I. Pola, Nieuw Archief voor Wiskunde, Vol. 5/4 (4), 2003) This book contains the proceedings of a Colloquium on Mathematics and Art held in Maubeuge (France) in September 2000. ! The References give a comprehensive list of sources for further study and most papers refer to websites which widen the reader's appreciation of the topic. ! Readers ! will find some of the themes and related material developed in the book of interest. Some readers will find considerable value in having the book as a reference. (W. P. Galvin, The Australian Mathematical Society Gazette, Vol. 30 (2), 2003) This book must have been a delight to put together. It contains 28 essays by 25 authors from 8 countries, and covers at least 5 disciplines (mathematics and art, of course, but also computer science, film and music). ! The strength of this collection of works is that it comes from a collection of talented people who have a lot to say on the subject of visualization in mathematics and art. (Annalisa Crannel, MAA Online, April, 2003) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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